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How would u simplify this if possible? 2 square root of 3 + square root of 27 - square...

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jabraeq | Student, Undergraduate | (Level 2) eNoter

Posted June 13, 2010 at 10:58 PM via web

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How would u simplify this if possible? 2 square root of 3 + square root of 27 - square root of 1/3

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neela | High School Teacher | (Level 3) Valedictorian

Posted June 13, 2010 at 11:43 PM (Answer #1)

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To simplify 2sqrt3+sqrt27-sqrt(1/3)

Solution:

sqrt27 = sqrt(3*3*3) = 3 sqrt3

sqrt(1/3) = 1/sqrt3 = sqrt3/(sqrt3)^2 = (1/3) sqrt3Therefore

2sqrt3+sqrt27-sqrt(1/3) =2xrt3+3sqrt3-(1/3)sqrt3 =  (2+3-1/3)sqrt3  

=(5-1/3) sqrt3

= (14/3) sqrt3 

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted June 13, 2010 at 11:55 PM (Answer #2)

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Simplify:

2sqrt(3)+sqrt(27)-1/sqrt(3)

= 2sqrt(3)+sqrt(3*3*3)-1/sqrt(3)

=2qrt(3)+3sqrt(3)-1/sqrt(3)

Multiply and divide by sqrt(3)

=[2(3) + 3(3)- 1]/sqrt(3)

= (6+9-1)/sqrt(3) = 14/sqrt(3)= (14/3)sqrt(3)

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